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Topological robustness of classical and quantum optical skyrmions in atmospheric turbulence

Guo, Zhenyu, Peters, Cade, Mata-Cervera, Nilo, Vetlugin, Anton N., Guo, Ruixiang, Zhang, Pei, Forbes, Andrew, Shen, Yijie·2026·Nature Communications

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Crossref · 10.1038/s41467-026-68751-3

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  • Classical skyrmions are robust to certain optical transformations, scattering media, and simulated atmospheric turbulence in controlled laboratory studies.

    “It has recently been demonstrated in controlled laboratory studies that classical skyrmions are robust to certain optical transformations (53), scattering media (54), and simulated atmospheric turbulence (55, 56).”

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Research works printed but not linked: 53

  1. Skyrme, T. H. R. A non-linear field theory. Proc. R. Soc. A 260, 127–138 (1961).
  2. Bogdanov, A., Rößler, U. & Shestakov, A. Skyrmions in nematic liquid crystals. Phys. Rev. E 67, 016602 (2003). · DOI
  3. Ruostekoski, J. & Anglin, J. Creating vortex rings and three-dimensional skyrmions in Bose-Einstein condensates. Phys. Rev. Lett. 86, 3934 (2001). · DOI
  4. Savage, C. & Ruostekoski, J. Energetically stable particlelike skyrmions in a trapped Bose-Einstein condensate. Phys. Rev. Lett. 91, 010403 (2003). · DOI
  5. Duzgun, A. & Nisoli, C. Skyrmion spin ice in liquid crystals. Phys. Rev. Lett. 126, 047801 (2021). · DOI
  6. Fert, A., Reyren, N. & Cros, V. Magnetic skyrmions: advances in physics and potential applications. Nat. Rev. Mater. 2, 1–15 (2017). · DOI
  7. Yu, X. et al. Real-space observation of a two-dimensional skyrmion crystal. Nature 465, 901–904 (2010). · DOI
  8. Han, L. et al. High-density switchable skyrmion-like polar nanodomains integrated on silicon. Nature 603, 63–67 (2022). · DOI
  9. Yu, X. et al. Skyrmion flow near room temperature in an ultralow current density. Nat. Commun. 3, 988 (2012). · DOI
  10. Shen, Y., Wang, H. & Fan, S. Free-space topological optical textures: tutorial. Adv. Opt. Photon. 17, 295–374 (2025). · DOI
  11. Du, L., Yang, A., Zayats, A. V. & Yuan, X. Deep-subwavelength features of photonic skyrmions in a confined electromagnetic field with orbital angular momentum. Nat. Phys. 15, 650–654 (2019). · DOI · Paper page
  12. Shi, P., Du, L., Li, M. & Yuan, X. Symmetry-protected photonic chiral spin textures by spin–orbit coupling. Laser Photonics Rev. 15, 2000554 (2021). · DOI · Paper page
  13. Lei, X. et al. Photonic spin lattices: symmetry constraints for skyrmion and meron topologies. Phys. Rev. Lett. 127, 237403 (2021). · DOI · Paper page
  14. Gao, S. et al. Paraxial skyrmionic beams. Phys. Rev. A 102, 053513 (2020). · DOI · Paper page
  15. Wang, A. A. et al. Topological protection of optical skyrmions through complex media. Light Sci. Appl. 13, 314 (2024). · DOI · Paper page
  16. Shen, Y., Hou, Y., Papasimakis, N. & Zheludev, N. I. Supertoroidal light pulses as electromagnetic skyrmions propagating in free space. Nat. Commun. 12, 5891 (2021). · DOI
  17. Liu, C., Zhang, S., Maier, S. A. & Ren, H. Disorder-induced topological state transition in the optical skyrmion family. Phys. Rev. Lett. 129, 267401 (2022). · DOI · Paper page
  18. Wang, R. et al. Observation of resilient propagation and free-space skyrmions in toroidal electromagnetic pulses. Appl. Phys. Rev. 11 (2024). · DOI
  19. Wang, S. et al. Topological structures of energy flow: Poynting vector skyrmions. Phys. Rev. Lett. 133, 073802 (2024). · DOI
  20. Chen, P., Lee, K. X., Meiler, T. C. & Shen, Y. Topological momentum skyrmions in mie scattering fields. Nanophotonics 14, 2211–2217 (2025). · DOI
  21. Karnieli, A., Tsesses, S., Bartal, G. & Arie, A. Emulating spin transport with nonlinear optics, from high-order skyrmions to the topological hall effect. Nat. Commun. 12, 1092 (2021). · DOI · Paper page
  22. Guo, C., Xiao, M., Guo, Y., Yuan, L. & Fan, S. Meron spin textures in momentum space. Phys. Rev. Lett. 124, 106103 (2020). · DOI
  23. Lin, M., Du, L. & Yuan, X. Photonic pseudospin skyrmion in momentum space. IEEE Photonics J. 15, 1–6 (2022).
  24. Rao, L. et al. Meron spin textures in momentum space spawning from bound states in the continuum. Phys. Rev. Lett. 135, 026203 (2025). · DOI
  25. Ornelas, P., Nape, I., de Mello Koch, R. & Forbes, A. Non-local skyrmions as topologically resilient quantum entangled states of light. Nat. Photon. 18, 258–266 (2024). · DOI · Paper page
  26. Spreeuw, R. J. C. A classical analogy of entanglement. Found. Phys. 28, 361–374 (1998). · DOI
  27. Forbes, A., Aiello, A. & Ndagano, B. Classically entangled light. Prog. Opt. 64, 99 (2019). · DOI
  28. Shen, Y. & Rosales-Guzmán, C. Nonseparable states of light: from quantum to classical. Laser Photonics Rev. 16, 2100533 (2022). · DOI · Paper page
  29. Allen, L., Beijersbergen, M. W., Spreeuw, R. & Woerdman, J. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. Phys. Rev. A 45, 8185 (1992). · DOI · Paper page
  30. Jiang, M., Luo, S. & Fu, S. Channel-state duality. Phys. Rev. A 87, 022310 (2013). · DOI
  31. Nape, I. et al. Revealing the invariance of vectorial structured light in complex media. Nat. Photon. 16, 538–546 (2022). · DOI · Paper page
  32. de Mello Koch, R., Lu, B.-Q., Ornelas, P., Nape, I. & Forbes, A. Quantum skyrmions in general quantum channels. APL Quantum 2 (2025). · DOI · Paper page
  33. Klug, A., Peters, C. & Forbes, A. Robust structured light in atmospheric turbulence. Adv. Photon. 5, 016006–016006 (2023). · DOI
  34. Peters, C., Nape, I. & Forbes, A. Tailoring light to create invariant modal spectra through complex channels. Opt. Express 33, 27560–27583 (2025). · DOI
  35. Leonhard, N., Sorelli, G., Shatokhin, V. N., Reinlein, C. & Buchleitner, A. Protecting the entanglement of twisted photons by adaptive optics. Phys. Rev. A 97, 012321 (2018). · DOI · Paper page
  36. Torres, J., Alexandrescu, A. & Torner, L. Quantum spiral bandwidth of entangled two-photon states. Phys. Rev. A 68, 050301 (2003). · DOI · Paper page
  37. Nape, I. et al. An all-digital approach for versatile hybrid entanglement generation. J. Opt. 24, 054003 (2022). · DOI
  38. Wootters, W. K. Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245 (1998). · DOI · Paper page
  39. Peters, C., Ornelas, P., Nape, I. & Forbes, A. Spatially resolving classical and quantum entanglement with structured photons. Phys. Rev. A 108, 053502 (2023). · DOI · Paper page
  40. Arrizón, V., Ruiz, U., Carrada, R. & González, L. A. Pixelated phase computer holograms for the accurate encoding of scalar complex fields. J. Opt. Soc. Am. A 24, 3500–3507 (2007). · DOI
  41. Peters, C., Everts, K., Kleine, T., Ornelas, P. & Forbes, A. Seeing through randomness with topological light. arXiv preprint arXiv:2508.12305 (2025). · arXiv
  42. Peters, C., Cocotos, V. & Forbes, A. Structured light in atmospheric turbulence-a guide to its digital implementation: tutorial. Adv. Opt. Photon. 17, 113–184 (2025). · DOI
  43. Andrews, L. C. Laser Beam Propagation through Random Media, 2nd edn (SPIE Press, 2005). · DOI
  44. Pires, D., Tsvetkov, D., Barati Sedeh, H., Chandra, N. & Litchinitser, N. Stability of optical knots in atmospheric turbulence. Nat. Commun. 16, 3001 (2025). · DOI
  45. Vaity, P., Banerji, J. & Singh, R. Measuring the topological charge of an optical vortex by using a tilted convex lens. Phys. Lett. A 377, 1154–1156 (2013). · DOI
  46. Beijersbergen, M. W., Allen, L., Van der Veen, H. & Woerdman, J. Astigmatic laser mode converters and transfer of orbital angular momentum. Opt. Commun. 96, 123–132 (1993). · DOI
  47. Noll, R. J. Zernike polynomials and atmospheric turbulence. J. Opt. Soc. Am. 66, 207–211 (1976). · DOI
  48. Roddier, N. A. Atmospheric wavefront simulation using Zernike polynomials. Opt. Eng. 29, 1174–1180 (1990). · DOI
  49. Buono, W. T., Peters, C., Tau, J., Nape, I. & Forbes, A. Eigenmodes of aberrated systems: the tilted lens. J. Opt. 24, 125602 (2022). · DOI
  50. Chen, L. et al. Programmable skyrmions for robust communication and intelligent sensing. arXiv preprint arXiv:2507.05944 (2025). · arXiv
  51. Shen, Y. Topological bimeronic beams. Opt. Lett. 46, 3737–3740 (2021). · DOI · Paper page
  52. McWilliam, A. et al. Topological approach of characterizing optical skyrmions and multi-skyrmions. Laser Photonics Rev. 17, 2300155 (2023). · DOI · Paper page
  53. Schmidt, J. D. Numerical Simulation of Optical Wave Propagation with Examples in MATLAB (SPIE, 2010). · DOI

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Metadata

Authors
Guo, Z., Peters, C., Mata-Cervera, N., Vetlugin, A. N., Guo, R., Zhang, P., Forbes, A., & Shen, Y.
Venue
Nature Communications
Published
2026-01-27
Volume
17
Issue
1
ISSN
2041-1723
Cited by
40
References
4
Language
en
Funders
Ministry of Education - Singapore (RG157/23 & RT11/23)

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